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Finding the Fourth Proportional to 1,762.42, 2,643.72 and 896.08

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Solution

The fourth proportional to 1,762.42, 2,643.72 and 896.08 is: 1,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.42 : 2,643.72 = 896.08 : x
  2. Step 2: Convert to fraction form
    1,762.42/2,643.72 = 896.08/x
  3. Step 3: Cross multiply
    1,762.42x = 2,643.72 × 896.08
  4. Step 4: Simplify right side
    1,762.42x = 2,368,984.62
  5. Step 5: Solve for x
    x = 2,368,984.62/1,762.42
  6. Step 6: Final answer
    x = 1,344.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.